351400 has 48 divisors (see below), whose sum is σ = 937440. Its totient is φ = 120000.

The previous prime is 351397. The next prime is 351401. The reversal of 351400 is 4153.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (351401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275 + ... + 1525.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2³⁵¹⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

351400 is an abundant number, since it is smaller than the sum of its proper divisors (586040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

351400 is a wasteful number, since it uses less digits than its factorization.

351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 351400 is about 592.7900134112. The cubic root of 351400 is about 70.5668262961.

Adding to 351400 its reverse (4153), we get a palindrome (355553).

The spelling of 351400 in words is "three hundred fifty-one thousand, four hundred".